89 students gave a combined test of Math and physics. If 64 passed in physics and Math and 7 failed in physics and Math and 4 failed in Math only. Using venn diagram find (1) Failed in physics only. (2) Passed in physics. (3) Passed in Math.
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number of students passed in both Maths and physics be represented by letter 'b'
number of students failed in both maths and physics be represented by letter 'd'
number of students who failed in only physics(I. e)(passed in maths) be represented by letter 'a'
number of students who failed in only maths (I. e) (passed in physics) be represented by letter 'c'
b = 64
d = 7
c = 4
a = ?
a+b+c+d = 89
a + 64 + 4 + 7 = 89
a + 75 =89
a = 89 - 75
a = 14
(1) no of students failed in physics = 14
(2)no of students who passed in physics is represented by 'b' and 'c' = 64 + 4 = 68
(3)no of students who passed in maths is represented by 'a' and 'b' = 14 + 64 = 78
number of students failed in both maths and physics be represented by letter 'd'
number of students who failed in only physics(I. e)(passed in maths) be represented by letter 'a'
number of students who failed in only maths (I. e) (passed in physics) be represented by letter 'c'
b = 64
d = 7
c = 4
a = ?
a+b+c+d = 89
a + 64 + 4 + 7 = 89
a + 75 =89
a = 89 - 75
a = 14
(1) no of students failed in physics = 14
(2)no of students who passed in physics is represented by 'b' and 'c' = 64 + 4 = 68
(3)no of students who passed in maths is represented by 'a' and 'b' = 14 + 64 = 78
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